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Problem

Given complex signal $ f(t)=e^{jt} = cos(t) + j sin(t) $, find $ E_\infty $ and $ P_\infty $.

Background Knowledge

$ E_\infty(x(t)) = \int_{-\infty}^\infty |x(t)|^2\,dt. $

$ P_\infty(x(t)) = \lim_{T \to \infty} (\frac{1}{2T} \int_{-T}^T |x(t)|^2\,dt. $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang